Question

A rectangular field is eight times as long as it is wide. If the perimeter of the field is 900 feet, what are the dimensions of the field.

Answer 1

Answer:

400 feet long

50 feet wide

Step-by-step explanation:

Length = l

Width = w

2l + 2w = 900

l = 8w

Plug the l from the bottom equation into the top equation

2 x 8w+ 2w = 900

16w = 900

Divide both sides by 16

16w/16 = 900/16

w = 50

The width is 50 feet

Now plug the new w into one of the original equations; we'll use the bottom one

l = 8(50)

l = 400